{"paper":{"title":"On Short and Semi-Short Representations for Four Dimensional Superconformal Symmetry","arxiv_id":"hep-th/0209056","primary_cat":"hep-th","submitted_at":"2002-09-06T16:43:12+00:00","version_compiled":"v2"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13-20260917 on the question bank abstract-p1-20260923, exactly as returned. No sentence in this record was written by a language model.","schema":"pith.compiled-record/v0","status":"compiled","abstract":{"source":"arXiv listing abstract v2","sentences":[{"i":0,"p":0.85,"id":"s0","own":true,"role":"contribution","text":"Possible short and semi-short representations for $\\N=2$ and $\\N=4$ superconformal symmetry in four dimensions are discussed.","hedge":{"p":0.76,"label":"hedged_possibility"},"own_p":0.76,"main_claim_p":0.12,"quantitative":true,"quantitative_p":0.55,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.15,"limitation":0.0,"future_work":0.0,"contribution":0.85,"interpretation":0.0}},{"i":1,"p":0.75,"id":"s1","own":false,"role":"result","text":"For $\\N=4$ the well known short supermultiplets whose lowest dimension conformal primary operators correspond to $\\half$-BPS or ${1\\over 4}$-BPS states and are scalar fields belonging to the $SU(4)_r$ symmetry representations $[0,p,0]$ and $[q,p,q]$ and having scale dimension $\\Delta =p$ and $\\Delta = 2q+p$ respectively are recovered.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.45,"main_claim_p":0.13,"quantitative":true,"quantitative_p":0.89,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.75,"background":0.18,"limitation":0.0,"future_work":0.0,"contribution":0.07,"interpretation":0.0}},{"i":2,"p":0.89,"id":"s2","own":true,"role":"contribution","text":"The representation content of semi-short multiplets, which arise at the unitarity threshold for long multiplets, is discussed.","hedge":{"p":0.79,"label":"asserted"},"own_p":0.59,"main_claim_p":0.09,"quantitative":false,"quantitative_p":0.13,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.03,"background":0.08,"limitation":0.0,"future_work":0.0,"contribution":0.89,"interpretation":0.0}},{"i":3,"p":0.92,"id":"s3","own":true,"role":"result","text":"It is shown how, at the unitarity threshold, a long multiplet can be decomposed into four semi-short multiplets.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.88,"main_claim_p":0.26,"quantitative":true,"quantitative_p":0.89,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.92,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.08,"interpretation":0.0}},{"i":4,"p":0.99,"id":"s4","own":true,"role":"result","text":"If the conformal primary state is spinless one of these becomes a short multiplet.","hedge":{"p":0.97,"label":"asserted"},"own_p":0.68,"main_claim_p":0.1,"quantitative":false,"quantitative_p":0.19,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.99,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.01}},{"i":5,"p":0.97,"id":"s5","own":true,"role":"result","text":"For $\\N=4$ a ${1\\over 4}$-BPS multiplet need not have a protected dimension unless the primary state belongs to a $[1,p,1]$ 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